61. Steiner Minimal Tree Problem In the nineteenth century jakob steiner, a mathematician at the University ofBerlin, studied this problem and expanded it to include an arbitrarily large http://www.css.tayloru.edu/~bbell/steiner/

Steiner Minimal Tree Problem Bob Bell Scientific Programming Track CSS Senior Seminar Project January 16, 1999 Introduction Objectives Investigate several approaches to solving an extension to the "Steiner" problem Find a graph of minimum overall length which connects a given set of N points in a plan and any others which you wish to introduce Add the optimum number of points to minimize the total length of arcs connecting all points Background Minimizing a network's length is one of the oldest optimization problems in mathematics. It has also seen the attention of many of the leading mathematicians in history. As far back as the mid-seventeenth century the following problem was suggested: Find the point P that minimizes the sum of the distances from P to each of three given points in the plane. Another way to state this problem is to find the point P in a triangle so that the total distance from P to each of the triangle's vertices is minimized. Fermat, Torricelli, and Cavalieri independently derived solutions to this problem. The general solution is that either P is inside the triangle formed by the points, and the angles formed by the lines connecting

62. The Efficacy Of Microbial Compared To Wheat Phytase In Pigs Fed At Different Fee Publication steiner, T., Fundis, A., jakob, S., Mosenthin, R. (2004) The efficacyof microbial compared to wheat phytase in pigs fed at different feeding http://www.uni-hohenheim.de/i3ve/00068900/306876041.htm

The efficacy of microbial compared to wheat phytase in pigs fed at different feeding levels Citation Steiner, T., Fundis, A., Jakob, S., Mosenthin, R.: The efficacy of microbial compared to wheat phytase in pigs fed at different feeding levels. Keywords feed additives microbial phytase phytase pig feeding wheat phytase Abstract Eighteen male castrated pigs with an initial body weight of 11 kg were used in a 5-week digestibility experiment to investigate the effects of supplemental microbial and native wheat phytase on apparent fecal digestibilities of phosphorus (P), calcium (Ca) and dry matter (DM) at different feeding levels. Both phytase sources were included at a dose of 550 U/kg in a phytase-inactivated basal diet based on corn and soybean meal with low Ca and P contents. The animals were kept in metabolism crates and feces and urine were collected quantitatively. Compared to wheat phytase, microbial phytase was more effective (p < 0.05) in improving the apparent fecal digestibilities of P and Ca. Digestibility of DM was not affected by phytase addition. Digestibilities of P and Ca were influenced (p < 0.0001) by the level of feed intake. Furthermore, at higher levels of feed intake the efficiency of microbial phytase was improved.

63. The Efficacy Of Microbial Compared To Wheat Phytase In Pigs Fed At Different Fee Translate this page Publikation (Beitrag in Tagungsband) steiner, T., Fundis, A., jakob, S., Mosenthin,R. (2004) The efficacy of microbial compared to wheat phytase in pigs http://www.uni-hohenheim.de/i3v/00068900/306876041.htm

The efficacy of microbial compared to wheat phytase in pigs fed at different feeding levels Titelaufnahme Steiner, T., Fundis, A., Jakob, S., Mosenthin, R.: The efficacy of microbial compared to wheat phytase in pigs fed at different feeding levels. Keywords feed additives microbial phytase phytase pig feeding wheat phytase Abstract Eighteen male castrated pigs with an initial body weight of 11 kg were used in a 5-week digestibility experiment to investigate the effects of supplemental microbial and native wheat phytase on apparent fecal digestibilities of phosphorus (P), calcium (Ca) and dry matter (DM) at different feeding levels. Both phytase sources were included at a dose of 550 U/kg in a phytase-inactivated basal diet based on corn and soybean meal with low Ca and P contents. The animals were kept in metabolism crates and feces and urine were collected quantitatively. Compared to wheat phytase, microbial phytase was more effective (p < 0.05) in improving the apparent fecal digestibilities of P and Ca. Digestibility of DM was not affected by phytase addition. Digestibilities of P and Ca were influenced (p < 0.0001) by the level of feed intake. Furthermore, at higher levels of feed intake the efficiency of microbial phytase was improved.

64. Adam Coffman Deposit #11 jakob steiner (1796 1863 ) was a Swiss mathematician who became a professor atthe University of Berlin. He visited Rome in 1844 where he developed the http://curvebank.calstatela.edu/romansurfaces/romansurfaces.htm

Back to . . . Curve Bank Home NCB Deposit # 11 contributed by Dr. Adam Coffman Department of Mathematical Sciences Indiana University - Purdue University Fort Wayne from http://www.ipfw.edu/math/Coffman/pov/gallery.html Surfaces and Computer Graphics Steiner Roman Surfaces Jakob Steiner (1796 - 1863 ) was a Swiss mathematician who became a professor at the University of Berlin. He visited Rome in 1844 where he developed the concept of a surface that we now call Steiner's Roman Surface. Its special properties are as follows: The real projective plane can be constructed as a topological surface, by attaching a Mobius strip along its circular edge to the circular edge of a disk. Another construction of the real projective plane is to identify antipodal (diametrically opposite) points on a sphere. There is no way to represent this surface in three dimensions without the surface intersecting itself. Steiner's Roman surface is one representation of the real projective plane, and it intersects itself along three line segments. These three line segments meet each other at a triple point, and their six endpoints are called pinch points.

65. Auslandsdienst.at - Verein Für Dienste Im Ausland Nach § 12b Translate this page Name, jakob steiner. Adresse, Anzengruberstr. 7. 6020 Innsbruck. Telefon,0650 - 752 74 45. Stelle, Montreal. Mentor, Christian Witternigg http://www.auslandsdienst.at/tirol/mitarb/j_steiner.htm

news presse pressearchiv briefe ... links Tirol - main events staff links ... map Name: Jakob Steiner Adresse: Anzengruberstr. 7 Innsbruck Telefon: Stelle: Montreal Mentor: Christian Witternigg Datum: Bundesland: Tirol Referat: Landesreferent Schule E-Mail: steiner@auslandsdienst.at back to top Vorsitzender Dr. Andreas Maislinger A - 6020 Innsbruck, Hutterweg 6

66. Lista De Managers jakob Wallenberg ABB Asea Brown Boveri Ltd,. James Jenness Kellogg Co.,.James A Block Block Drug Co. Inc, Jeffrey Matthews steiner Leisure Ltd., http://es.transnationale.org/manager/manager_J.htm

Inicio : Empresas > Lista de managers: A B C D ... I J K L M N ... Z J A Chegwidden: J A Horning: International Forest Products Ltd J Barclay Collins II: Amerada Hess Corp J Battenberg: Delphi Corp J Brian Ferguson: Eastman Chemical Co J Cronin: Cytec Industries Inc. J Currie Bechtol: Frontier Oil Corp J David Greenwood: JJB Sports plc J Drennan Lowell: Waste Management Inc. J E Andriessen: Randstad Holding NV J F M Peters: Bank Nederlandse Gemeenten J G Dopper: European Chemical Industry Council, J Gregory Ness: StanCorp Financial Group, Inc J Howard Watson: Telewest Communications plc J Ira Harris: Manpower J K Kim: Anam Semiconductors J Keith Lousteau: Tidewater J Kendall Huber: Allmerica Financial Corp J Kenneth Alley: Suncor Energy Inc. J Kevin Buchi: Cephalon J L Dehaene: Telindus Group J Landis Martin: Crown Castle International Corp Halliburton Co. J Lawrence Wilson: J M Fernández Sousa-Faro: Zeltia SA J M Haggar: Haggar Corp J M Henderson: KPN J M Robinson: Footstar, Inc J M Sunderland: Cadbury Schweppes plc Rank Group plc. J Marvin Quin: Ashland Inc. J Michael Fitzpatrick: J Michael Schlotman: Kroger Co.

67. Deltoid steiner s hypocycloid the Swiss mathematician jakob steiner studied the curvein 1856; tricuspoid because of its three cusps http://www.2dcurves.com/roulette/rouletted.html

deltoid roulette last updated: This curve, with the form of the Greek capital delta, has been given also as names: Steiner's hypocycloid : the Swiss mathematician Jakob Steiner studied the curve in 1856 tricuspoid : because of its three cusps This quartic curve is the hypocycloid for which the rolled circle is three times as large as the rolling circle. Given a tangent l to the curve. It cuts the curve in points P and Q. Then PQ has a length of 4, and the tangents to the curve in P and in Q make a right angle. The length of the deltoid is 16, and the area it encloses: 2 p Some other properties of the curve: the radial of the deltoid is the trifolium its catacaustic (with the source at infinity) is the astroid its orthoptic is the circle the deltoid is the envelope of Simson lines Three pedal s of the curve are: pedal point pedal curve cusp simple folium vertex double folium center trifolium The curve has been investigated as first by Leonhard Euler (1745), while studying an optical problem. notes 1) In Cartesian coordinates:

68. Enciclopedia :: 100cia.com Translate this page jakob steiner. (En este momento no hay texto en esta p¡gina. Para iniciar elart­culo, click editar esta p¡gina (http//es.wikipedia.orgjakob_steiner).) http://100cia.com/enciclopedia/Jakob_Steiner

Portada Artículos favoritos Vea sus documentos y artículos favoritos pulsando aquí No hay artículos favoritos todavía. documentos sin leer: Siguiente doc sin leer Borrar los docs leídos Borrar todos los docs ¡Webmaster! ¿Quieres tener los contenidos de 100cia.com en tu página? Pulsa aquí Buscar: en Google en noticias en Enciclopedia Estás en: 100cia.com > Enciclopedia Jakob Steiner (En este momento no hay texto en esta p¡gina. Para iniciar el art­culo, click editar esta p¡gina http://es.wikipedia.orgJakob_Steiner Información de Wikipedia (Licencia de uso GFDL) e Internet ¿Sabías que Albert Einstein(1879-1955) dijo...? El sentido común no es más que un depósito de prejuicios establecidos en la mente antes de cumplir dieciocho años. Traducciones Acerca de Sync.es Webs amigas: AstroRED CanalGame DVDenlared

69. Cosmo_scienze_frattali_quanti_&_altro jakob steiner 18 March 1796 in Utzenstorf, Switzerland 1 April 1863 in jakob steiner did not learn to read and write until he was 14 and only went to http://www.violettanet.it/links/cosmoscienze.htm

...in giro per il w e b ... cosmo scienze pagine 1-5 I roamed the countryside searching for answers to things I did not understand. Why shells exist on the tops of mountains along with imprints of plants usually found in the sea. Why thunder lasts longer than that which causes it. How circles of water form around the spot which has been struck by a stone. And how a bird suspends itself in the air. Questions like these engaged my thought throughout my life. What are you curious about? What are two reasons why you are interested in your current issue? www.creativethink.com/ SOLIDI PLATONICI DODECAEDRO LEONARDO 100 domande sul pianeta terra nucleo mantello crosta http://www.linguaggioglobale.com/terra/default.htm unife intelligenza e visione artificiale Scozia - 19° conferenza sull'intelligenza artificiale "IJCAI-05" http://ijcai05.csd.abdn.ac.uk/ http://dbs.cordis.lu/ Tenth International Conference on ARTIFICIAL INTELLIGENCE and LAW (ICAIL 2005) INTELLIGENZA ARTIFICIALE E DIRITTO www.altalex.com/

70. Ivars Peterson's MathLand two centuries ago by jakob steiner, a professor at the University of Berlin . The answer to steiner s problem can also appear in the shape of a soap http://www.maa.org/mathland/mathland_4_8.html

Search MAA Online MAA Home Ivars Peterson's MathLand April 8, 1996 Soap Films and Grid Walks A simple, physical demonstration of a mathematical truth can produce a lasting impression one that inspires new questions and speculations. For Christopher C. Chang, a student at Henry M. Gunn Senior High School in Palo Alto, Calif., and one of 40 finalists in this year's Westinghouse Science Talent Search, that demonstration involved soap films and a classic problem invented nearly two centuries ago by Jakob Steiner, a professor at the University of Berlin. Suppose three cities, Altford, Benford, and Camford, are to be connected by a system of highways. Because the cities are all situated on an unnaturally smooth plain and there are no lakes, hills, rivers, or other obstacles in the region, the builders can put their roads anywhere they wish, so long as they keep the cost (and total length) to a minimum. In mathematical terms, the problem comes down to finding a new point P such that the total length of the straight lines joining P to each one of three given points, A, B, and C, on a plane has the least possible value. P is known as the "Steiner point." For the case in which the three cities form a triangle (that is, they're not all in a straight line), the solution involves finding a point inside the triangle toward which straight roads can be built from each city. Using elementary geometry, one can show that the angles between the lines AP, BP, and CP in this simple network all turn out to be 120 degrees.

71. Collected Works In Mathematics And Statistics jakob steiner, Thomas Jan Stieltjes, Sir George Stokes, JJ Sylvester, Gábor Szegö steiner, jakob, 17961863, Gesammelte Werke, 2, QA 443 S742, Killam http://www.mathstat.dal.ca/~dilcher/collwks.html

Collected Works in Mathematics and Statistics This is a list of Mathematics and Statistics collected works that can be found at Dalhousie University and at other Halifax universities. The vast majority of these works are located in the Killam Library on the Dalhousie campus. A guide to other locations is given at the end of this list. If a title is owned by both Dalhousie and another university, only the Dalhousie site is listed. For all locations, and for full bibliographic details, see the NOVANET library catalogue This list was compiled, and the collection is being enlarged, with the invaluable help of the Bibliography of Collected Works maintained by the Cornell University Mathematics Library. The thumbnail sketches of mathematicians were taken from the MacTutor History of Mathematics Archive at the University of St. Andrews. For correction, comments, or questions, write to Karl Dilcher ( dilcher@mscs.dal.ca You can scroll through this list, or jump to the beginning of the letter: A B C D ... X-Y-Z A [On to B] [Back to Top] N.H. Abel

72. Anecdotario Matemático Translate this page Ya en el siglo XIX, el matemático francés Jean Victor Poncelet sugirió unademostración, más tarde rigurosamente desarrollada por el suizo jakob steiner, http://www-etsi2.ugr.es/profesores/jmaroza/anecdotario/anecdotario-r.htm

Ramanujan pi (v.) . A los 12 años dominaba la trigonometría, y a los 15 le prestaron un libro con 6000 teoremas conocidos, sin demostraciones. Ésa fue su formación matemática básica. En 1903 y 1907 suspendió los exámenes universitarios porque solo se dedicaba a sus "diversiones" matemáticas. En 1912 fue animado a comunicar sus resultados a tres distinguidos matemáticos. Dos de ellos no le respondieron, pero sí lo hizo G.H. Hardy, de Cambridge, tenido por el más eminente matemático británico de la época. Hardy estuvo a punto de tirar la carta, pero la misma noche que la recibió se sentó con su amigo John E. Littlewood (v.) a descifrar la lista de 120 fórmulas y teoremas de Ramanujan. Horas más tarde creían estar ante la obra de un genio. Hardy tenía su propia escala de valores para el genio matemático: 100 para Ramanujan, 80 para David Hilbert, 30 para Littlewood y 25 para sí mismo. Algunas de las fórmulas de Ramanujan le desbordaron, pero escribió "...forzoso es que fueran verdaderas, porque de no serlo, nadie habría tenido la imaginación necesaria para inventarlas". Invitado por Hardy, Ramanujan partió para Inglaterra en 1914 y comenzaron a trabajar juntos. En 1917 Ramanujan fue admitido en la Royal Society de Londres y en el Trinity College, siendo el primer indio que lograba tal honor. De salud muy débil, moría tres años después.

73. AIM Book Library: Jacob steiner s gesammelte Werke. Hrsg. auf Veranlassung der Königlich Preussischen steiner, jakob, 17961863. Weierstrass, Karl, 1815-1897. QA443 . http://www.aimath.org/library/library.cgi?database=books;mode=display;BrowseCall

74. Creation And Smooth-shading Of Steiner Patch Tessellations 9 jakob steiner , DICTIONARY OF SCIENTIFIC BIOGRAPHY, Charles Scribner s Sons,New York, Vol. Xltl, 1976, pp. 1222. http://portal.acm.org/citation.cfm?id=324937

75. Active Skim View Of: Index 201202, 206-209, 240 Stegun, Irene A., 373 steiner, jakob, 119 Step functions,124, 297-302 Stern, Moritz, 27 Stevens, Wallace, 198 Stieltjes integral, http://www.nap.edu/nap-cgi/skimit.cgi?isbn=0309085497&chap=407-422

76. Nat' Academies Press, Prime Obsession: Bernhard Riemann And The Greatest Unsolve steiner, jakob, 119. Step functions, 124, 297302. Stern, Moritz, 27. Stevens,Wallace, 198. Stieltjes integral, 160. Stieltjes, Thomas, 154, 160, 161, 376 http://www.nap.edu/openbook/0309085497/html/420.html

Read more than 3,000 books online FREE! More than 900 PDFs now available for sale HOME ABOUT NAP CONTACT NAP HELP ... ORDERING INFO Items in cart [0] TRY OUR SPECIAL DISCOVERY ENGINE Questions? Call 888-624-8373 Prime Obsession: Bernhard Riemann and the Greatest Unsolved Problem in Mathematics (2003) Joseph Henry Press ( JHP Find More Like This Book Research ... Dashboard NEW! BUY This Book CHAPTER SELECTOR: Openbook Linked Table of Contents Front Matter, pp. i-xvi Part I: The Prime Number Theorem, pp. 1-2 1. Card Trick, pp. 3-18 2. The Soil, the Crop, pp. 19-31 3. The Prime Number Theorem, pp. 32-47 4. On the Shoulders of Giants, pp. 48-62 5. Riemann's Zeta Function, pp. 63-81 6. The Great Fusion, pp. 82-98 7. The Golden Key, and an Improved Prime Number Theorem, pp. 99-117 8. Not Altogether Unworthy, pp. 118-136 9. Domain Stretching, pp. 137-150 10. A Proof and a Turning Point, pp. 151-166 Part II: The Riemann Hypothesis, pp. 167-168 11. Nine Zulu Queens Ruled China, pp. 169-183 12. Hilber's Eighth Problem, pp. 184-200 13. The Argument Ant and the Value Ant, pp. 201-222

77. Steiner Background jakob steiner. memorial page. born march 18, 1796 Utzenstorf, Switzerland.dead april 1, 1863 Bern, Switzerland. He is a middleaged man, of pretty stout http://acg.media.mit.edu/people/kram/steinerSurf/background.html

Jakob Steiner memorial page born march 18, 1796 Utzenstorf, Switzerland dead april 1, 1863 Bern, Switzerland "He is a middle-aged man, of pretty stout proportions, has a long intellectual face, with beard and moustache and a fine prominant forehead, hair dark rather inclining to turn grey. The first thing that strikes you on his face is a dash of care and anxiety, almost pain, as if arising from physical suffering - he has rheumatism. He never prepares his lectures beforehand. He thus often stumbles or fails to prove what he wishes at the moment, and at every such failure he is sure to make some characteristic remark. " (o'conner) [piercing glare, no?]

78. SNM/DLA: Namenregister 'S' Nachlaßverzeichnis jakob B-94 steiner, Rudolf C-23; steiner-Prag, Elenor S-134; steiner-Prag, Hugo C-23, http://www.dla-marbach.de/kallias/hyperkuss/s-reg.html

Schiller-Nationalmuseum/ Deutsches Literaturarchiv Startseite SNM/DLA Aktuelles Marbacher Institute Kataloge des Literaturarchivs ... Weiter ] [Anfang] [ Ende Register Suche Startseite ... Hilfe Namenregister (Buchstabe 'S') hervorgehobener Link Die Buchstaben-Nummern-Kombinationen (z.B. L-21) sind Bitte geben Sie bei Anfragen unbedingt auch den Namen Saal, Lotte S-82 Saalfeld, Martha B-3 B-21 E-3 H-67 ... U-13 Saar-Verlag M-91 Saar, Ferdinand von C-23 S-73 Sabais, Heinz Winfried E-3 H-109 K-88 L-19 ... Z-15 Sabbatai Zwi K-11 Sabini, Guido L-25 Sacher-Masoch, Alexander S-70 W-19 Sacher-Masoch, Leopold Ritter von C-23 Sachs, Curt G-57 Sachs, Emmy T-21 Sachs, Erich K-70 Sachs, Hanns S-60 Z-15-1 G-44 Sachs, Hans J. P-36 Sachs, Nelly A-12 A-15 B-58 C-9 ... W-19 Sachs, Oscar F-32 Sachs, Rudolf D-26 D-19 L-17-1 S-3 ... S-4 Sack, Gustav S-5 S-5 S-6 Sack, Johanna S-6 Sack, Paula F-20 K-8 L-26 S-5 ... U-13 Sacken, Annemarie von B-30 Sackmauer, Ludwig T-10 Sacks, Philipp L-14 H-50 B-55 J-14 Saekel, Herbert K-72 K-86-1 R-19 S-136 Saenger, Samuel F-20-1 L-62 Safari-Verlag B-21 G-36 J-23 Safranski, Kurt A-6-1 Sagan, Henry G-26 R-43 R-43-3 Sagitta siehe: Mackay, John Henry

79. DML: Digital Mathematics Library: Retrodigitized Mathematics Journals And Monogr jakob steiner (1826). Hrsg.von Rudolf Sturm. (by steiner, jakob), 125, 1901. book http://www.mathematik.uni-bielefeld.de/~rehmann/DML/dml_links_title_E.html

DML: Digital Mathematics Library Also: WDML: World Digital Mathematics Library Retrodigitized Mathematics Journals and Monographs Contains links to 1874 digitized books (> 385236 pages ) and to 145 digitized journals (> 2942143 pages). (Numbers of pages are preliminary; not all informations are already available.) Includes all the links mentioned on page 920 of: Allyn Jackson, "The Digital Mathematics Libary", Notices Amer. Math. Soc., vol. 50 (8), 2003 Local Copy A similar list is offered at http://www.wdml.org The database for this table is an ASCII based (ISO Latin 8859-1 extended) list , which may be parsed by this PERL script If you want items to be added here, please send me the necessary data. Lists ordered by "Journal", "Repository" (Journals only) or by "Author name", "Title" are provided, as well as an overview of the repositories Author: A B C D ... Z Title: A B C D ... Z Nr. Repository: Title, Author: Pages: Year(s): Type: smarandache E-Books of Mathematics book GDZ Ebene Flugbahnen starrer Körper (by Heinicke, Hilde) book Michigan Ebene Geometrie der Lage, von Dr. Rudolf Böger. Mit 142 Figuren.

80. Jakob Steiner Université Montpellier II Translate this page jakob steiner (1796-1863). Cette image et la biographie complète en anglaisrésident sur le site de l’université de St Andrews Écosse http://ens.math.univ-montp2.fr/SPIP/article.php3?id_article=1848

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